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skelet666 [1.2K]
3 years ago
14

Simplify algebraic expression y+3y-2

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

the answer is 4y-2

Step-by-step explanation:

To simplify any algebraic expression you need to add liketerms.

In this equation, the liketerms are y and 3y.

3y+y= 4y

We are left with 4y-2; we cant go any further, because 4y and -2 are not liketerms.

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Number 8 only please
givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's \frac{27}{100}.

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: \frac{6.8}{?} =\frac{27}{100}

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

\frac{6.8}{x} =\frac{27}{100}

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

680=27x

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

25.185185...=x

I'm gonna round that for simplicity's sake, because 185 repeats.

25.2=x

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

\frac{20.1}{25.2} =\frac{x}{100}

x being the percent we're solving for.

Cross-multiply again:

2010=25.2x

Divide both sides by 25.2:

79.761904761904...=x

Then round for simplicity's sake:

79.76=x

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0
2 years ago
Given f(x)=14(5−x)2 what is the value of f(11)?
dlinn [17]

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

8 0
2 years ago
Solve for y please help
ss7ja [257]

Answer:

The answer is (-16.6)

Step-by-step explanation:

y/2 ≥ -8.3

y ≥ (-8.3) × 2

y ≥ -16.6

Thus, The value of y is (-16.6)

<u>-TheUnknownScientist 72</u>

7 0
2 years ago
Based on the ratios shown ion the double number line, what is the cost for 5 pounds of almonds? :)
denis-greek [22]
I found the answer to this by first dividing 34 by 4 to get 8.5. We already know what 4 divided by 4 is. For every one pound of almonds, it costs $8.50. Since we know that we need to find out how much it costs for 5 pounds of almonds, we simply multiply 8.5 by 5 to get 42.5. It costs $42.50 to buy 5 pounds of almonds.


7 0
3 years ago
Find x and y ! <br><br> pls help giving 50 points !!
Natasha_Volkova [10]

Answer:

y = 20°

x = 35°

Explanation:

Equation's:

   1) 2y + x + 105° = 180°

   2) 3x + x + 2y = 180°

Make y subject in equation 2

3x + x + 2y = 180

4x + 2y = 180

2y = 180 - 4x

y = 90 - 2x

Insert this into equation 1

2(90 - 2x) + x + 105° = 180°

180 - 4x + x + 105 = 180

-3x = -105

x = 35°

Find value of y

y = 90 - 2x

y = 90 - 2(35)

y = 20°

4 0
1 year ago
Read 2 more answers
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